Answer:
D
Step-by-step explanation:
You can look at it like a right triangle being made with the vertical part being 9 and the horizontal part being 8, then you want to find the diagonal part. So that's the Pythagorean theorem

Answer:
The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.
Step-by-step explanation:
Given a point: (4, 8)
Given and equation:
y = 1/2x - 3
Write an equation parallel that passes through the point (4, 8).
Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:
y - 8 = 1/2(x - 4)
Solve for y to get the slope intercept form:
y - 8 = 1/2x - 2
y = 1/2x - 2 + 8
y = 1/2x + 6
Proof:
Solve for f(x) when x = 4
f(4) = 1/2x + 6
= 1/2(4) + 6
= 2 + 6 = 8, giving the point (4, 8)
Answer:
8
Step-by-step explanation:
When flipping a coin, you get a head (H) or a tail (T)
The second part of the tree diagram will be HT HT
The third part of the tree diagram will be HT HT HT HT
The outcomes are 8
H-------H---------H---------HHH
T-------- HHT
T----------H----------HTH
T---------HTT
T-------H-----------H---------THH
T---------THT
T------------H--------TTH
T--------TTT
The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.
Answer:
Option C
Step-by-step explanation:
-10n = -1,200
divide by -10
n = -1,200/-10
n = 120
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